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40130003029 is a prime number
BaseRepresentation
bin100101010111111011…
…110100000001010101
310211120201200101010111
4211113323310001111
51124141240044104
630234021123021
72620313253244
oct452773640125
9124521611114
1040130003029
1116023382266
12793b559471
133a26c9c52c
141d2996c95b
15109d116404
hex957ef4055

40130003029 has 2 divisors, whose sum is σ = 40130003030. Its totient is φ = 40130003028.

The previous prime is 40130002967. The next prime is 40130003071. The reversal of 40130003029 is 92030003104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25504728804 + 14625274225 = 159702^2 + 120935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40130003029 is a prime.

It is a super-2 number, since 2×401300030292 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40130003629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20065001514 + 20065001515.

It is an arithmetic number, because the mean of its divisors is an integer number (20065001515).

Almost surely, 240130003029 is an apocalyptic number.

It is an amenable number.

40130003029 is a deficient number, since it is larger than the sum of its proper divisors (1).

40130003029 is an equidigital number, since it uses as much as digits as its factorization.

40130003029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

The spelling of 40130003029 in words is "forty billion, one hundred thirty million, three thousand, twenty-nine".